Anomalous spin of the Chern-Simons-Georgi-Glashow model

HUO Qiu-Hong; JIANG Yun-Guo; WANG Ru-Zhi; YAN Hui

doi:10.1088/1674-1137/37/4/043104

Chinese Physics C> 2013, Vol. 37> Issue(4) : 043104 DOI: 10.1088/1674-1137/37/4/043104

Anomalous spin of the Chern-Simons-Georgi-Glashow model

Abstract
HTML
Reference
Related

PDF

Abstract：
With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.

References

[1]

Jackiw R, Templeton S. Phys. Rev. D, 1981, 23: 2291[2] Deser S, Jackiw R, Templeton, S. Phys. Rev. Lett., 1982 48: 975; Ann. Phys. (N.Y.), 1982, 140: 372[3] Wilczek F, Zee A. Phys. Rev. Lett., 1983, 51: 2250[4] WU Yong-Shi, Zee A. Phys. Lett. B, 1984, 147: 325[5] Lee C K, Lee K M, Min H. Phys. Lett. B, 1990, 252: 79[6] Lee B H, Lee C K, Min H. Phys. Rev. D, 1992, 45: 4588[7] Gudnason S B. Nucl. Phys. B, 2009, 821: 151; Eto M, Gudnason S B. J. Phys. A: Math. Theor., 2011, 44: 095401[8] Girvin S, Prange R. The quantum Hall effect. Berlin: Springer, 1987; ZHANG Z, Hansson T, Kivelson S. Phys. Rev. Lett., 1989, 62: 82[9] Polyakov A. Mod. Phys. Lett. A, 1988, 3: 325[10] Banerjee R. Nucl. Phys. B, 1994, 419: 611-631[11] Banerjee R. Mukherjee P. Nucl. Phys. B, 1996, 478: 235[12] Banerjee R, Mukherjee P. Prog. Theor. Phys., 1999, 101: 1189-1197[13] Jackiw R, Weinberg E. Phys. Rev. Lett., 1990, 64: 2234[14] Ferrari F, Lazzizzera I. Phys. Lett. B, 1997, 395: 250[15] Tekin B, Saririan K, Hosotani Y. Nucl. Phys. B, 1999, 539: 720[16] Dirac P A M. Lectures on Quantum Mechanics. Mineola, New York: Dover Publications, Inc., 2001[17] Costa M E V, Girotti H O, Simes T J M. Phys. Rev. D, 1985, 32: 405[18] WANG Yong-Long, LI Zi-Ping, WANG Ke. Int. J of Theor. Phys., 2009, 48: 1894[19] Schwinger J. Phys. Rev., 1962, 125: 1043[20] HUANG Yong-Chang, HUO Qiu-Hong. Phys. Lett. B, 2008, 662: 290[21] WANG Ke, JIANG Yun-Guo, HUO Qiu-Hong. Chin. Phys. C(HEP NP), 2010, 34(5): 535[22] Carroll S M, Field G B, Jackiw R. Phys. Rev. D, 1990, 41: 1231

[1]	Chu Wang , Jun-Quan Tao , M. Aamir Shahzad , Guo-Ming Chen , S. Gascon-Shotkin . Search for a lighter neutral custodial fiveplet scalar in the Georgi-Machacek model. Chinese Physics C, 2022, 46(8): 083107. doi: 10.1088/1674-1137/ac6cd3
[2]	Yin Jiang , Shuzhe Shi , Yi Yin , Jinfeng Liao . Quantifying the chiral magnetic effect from anomalous-viscous fluid dynamics. Chinese Physics C, 2018, 42(1): 011001. doi: 10.1088/1674-1137/42/1/011001
[3]	Fei Wu , Chen Wu , Zhong-Zhou Ren . Neutron stars including the effects of chaotic magnetic fields and anomalous magnetic moments. Chinese Physics C, 2017, 41(4): 045102. doi: 10.1088/1674-1137/41/4/045102
[4]	Qing-Hong Cao , Bin Yan , Jiang-Hao Yu , Chen Zhang . A general analysis of Wtb anomalous couplings. Chinese Physics C, 2017, 41(6): 063101. doi: 10.1088/1674-1137/41/6/063101
[5]	D. Naderi , M. Salimi . Investigation of fission fragments average spin based on four dimensional Langevin dynamical model. Chinese Physics C, 2017, 41(2): 024104. doi: 10.1088/1674-1137/41/2/024104
[6]	WANG Ke , JIANG Yun-Guo , HUO Qiu-Hong . Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003
[7]	Marc Richard , Xavier Artru , Mokhtar Elchikh , Jacques Soffer , Oleg Teryaev . Model-independent constraints on spin observables. Chinese Physics C, 2009, 33(12): 1153-1158. doi: 10.1088/1674-1137/33/12/017
[8]	HU Ming-Liang , TIAN Dong-Ping . Bipartite entanglement in spin-1/2 Heisenberg model. Chinese Physics C, 2008, 32(4): 303-307. doi: 10.1088/1674-1137/32/4/013
[9]	WANG Yong-Long , LI Zi-Ping . Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term. Chinese Physics C, 2004, 28(7): 696-698.
[10]	LONG Zheng-Wen , LIU Bo , LI Zi-Ping . Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term. Chinese Physics C, 2003, 27(10): 866-869.
[11]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[12]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[13]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[14]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[15]	Sun Changpu , Pang Lin , Ge Molin . Effective Topological Action in Heisenberg Spin Model as Berry's Phase. Chinese Physics C, 1992, 16(S1): 51-56.
[16]	Chen Fengzhi , Nie Chuanhui . The Origin of Anomalous Hard Positrons in the Cosmic Rays Above 10 GeV. Chinese Physics C, 1991, 15(S3): 259-264.
[17]	Yu Yue . Supersymmetry and The Gauss-Bonnet-Chern Theorem. Chinese Physics C, 1988, 12(S2): 123-130.
[18]	YU Yue . SUPERSYMMETRY AND GAUSS-BONNET-CHERN THEOREM. Chinese Physics C, 1988, 12(1): 28-33.
[19]	ZHOU Guang-Zhao , WU Yue-Liang , XIE Yan-Bo . THE GENERAL CHERN-SIMONS COCHAIN AND THEIR APPLICATION. Chinese Physics C, 1986, 10(2): 177-185.
[20]	ZHU Pei-Yu , CAO Yu-Fang , WU You-Shi . THE SPIN (6) LIMIT OF INTERACTING BOSON-FERMION MODEL Ⅱ. Chinese Physics C, 1985, 9(2): 154-160.

Access

Get Citation

HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104

HUO Qiu-Hong, JIANG Yun-Guo, WANG Ru-Zhi and YAN Hui. Anomalous spin of the Chern-Simons-Georgi-Glashow model[J]. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104 shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2012-05-03
Revised: 2012-05-31

Article Metric

Article Views(2163)
PDF Downloads(285)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Anomalous spin of the Chern-Simons-Georgi-Glashow model

Corresponding author: HUO Qiu-Hong,

Corresponding author: JIANG Yun-Guo,

Received Date: 2012-05-03

Accepted Date: 2012-05-31

Available Online: 2013-04-05

Abstract: With the Coulomb gauge, the Chern-Simons-Georgi-Glashow (CSGG) model is quantized in the Dirac formalism for the constrained system. Combining the Gauss law and Coulomb gauge consistency condition, the difference between the Schwinger angular momentum and canonical angular momentum of the system is found to be an anomalous spin. The reason for this result lies in the fact that the Schwinger energy momentum tensor and the canonical one have different symmetry properties in the presence of the Chern-Simons term.

HTML

Reference (1)

Anomalous spin of the Chern-Simons-Georgi-Glashow model

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, [email protected]

Email This Article